Linear Alegbra

Linear Alegbra

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Course Description

Vector and spaces

vectors

Linear Combinations and spans

Linear dependence and independence

subspaces and the basics for a subspaces

vector dot and cross product

Matrices for solving system by eliminations

Null spaces and column space

Matrix transformations

function and linear transformations

Linear transformation example

Transformations and matrix multiplications

Inverse functions and transformations

finding inverse and determinants

More depending depth

Transpose of a matrix

Alternate coordinate systems (bases)

Orthogonal complements

Orthogonal projects

Changes of basis

Orthogonal bases and the Gram -Schmidt process

Eigen-Algebra

 

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